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oai:docta.ucm.es:20.500.14352/417772024-06-26T13:00:16Zcom_20.500.14352_14col_20.500.14352_15

Unbounded violations of bipartite Bell Inequalities via Operator Space theory Junge, Marius Palazuelos Cabezón, Carlos Pérez García, David Villanueva Díez, Ignacio Wolf, Michael M. In this work we show that bipartite quantum states with local Hilbert space dimension n can violate a Bell inequality by a factor of order Ω(√n∕Log2n) when observables with n possible outcomes are used. A central tool in the analysis is a close relation between this problem and operator space theory and, in particular, the very recent noncommutative Lp embedding theory. As a consequence of this result, we obtain better Hilbert space dimension witnesses and quantum violations of Bell inequalities with better resistance to noise. 2023-06-20T00:02:17Z 2023-06-20T00:02:17Z 2023-06-20T00:02:17Z 2010-12 journal article https://hdl.handle.net/20.500.14352/41777 0010-3616 10.1007/s00220-010-1125-5 eng QUEVADIS (233859) QUITEMAD-CM (S2009/ESP-1594) (DMS-0901457) I-MATH (MTM2008-01366) QUANTOP COQUIT Junge, M., Palazuelos Cabezón, C., Pérez García, D., Villanueva Díez, I., Wolf, M. M. «Unbounded Violations of Bipartite Bell Inequalities via Operator Space Theory». Communications in Mathematical Physics, vol. 300, n.o 3, diciembre de 2010, pp. 715-39. DOI.org (Crossref), https://doi.org/10.1007/s00220-010-1125-5. restricted access Springer